Search a number
-
+
2200212211122 = 232712131185099
BaseRepresentation
bin100000000001000110110…
…111100000010110110010
321210100010120102222101200
4200001012313200112302
5242022013311223442
64402432531312030
7314650211135262
oct40010667402662
97710116388350
102200212211122
11779117485382
122b64ba74b616
1312c62c824953
14786c2c117a2
153c374dbe34c
hex20046de05b2

2200212211122 has 72 divisors (see below), whose sum is σ = 4872151112400. Its totient is φ = 717550906800.

The previous prime is 2200212211111. The next prime is 2200212211177. The reversal of 2200212211122 is 2211122120022.

It is a happy number.

2200212211122 is a `hidden beast` number, since 220 + 0 + 212 + 211 + 1 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2200212211095 and 2200212211104.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11794129 + ... + 11979227.

It is an arithmetic number, because the mean of its divisors is an integer number (67668765450).

Almost surely, 22200212211122 is an apocalyptic number.

2200212211122 is an abundant number, since it is smaller than the sum of its proper divisors (2671938901278).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2200212211122 is a wasteful number, since it uses less digits than its factorization.

2200212211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185380 (or 185306 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2200212211122 its reverse (2211122120022), we get a palindrome (4411334331144).

The spelling of 2200212211122 in words is "two trillion, two hundred billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 71 131 142 213 262 393 426 639 786 1179 1278 2358 5041 9301 10082 15123 18602 27903 30246 45369 55806 83709 90738 167418 185099 370198 555297 660371 1110594 1320742 1665891 1981113 3331782 3962226 5943339 11886678 13142029 24247969 26284058 39426087 48495938 72743907 78852174 118278261 145487814 218231721 236556522 436463442 933084059 1721605799 1866168118 2799252177 3443211598 5164817397 5598504354 8397756531 10329634794 15494452191 16795513062 30988904382 122234011729 244468023458 366702035187 733404070374 1100106105561 2200212211122